Least Common Multiple of 14/348, 3741/9039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/348, 3741/9039 quickly i.e. 17458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/348, 3741/9039 is 17458.

LCM(14/348, 3741/9039) = 17458

LCM of 14/348, 3741/9039

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 14/348,3741/9039

Given numbers are 14/348,3741/9039

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 14,3741

Least Common Multiple of Numerators i.e. LCM of 14,3741 is 52374.

GCF of Denominators means GCF of 348,9039 as per the given fractions.

GCF of 348,9039 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,3741

LCM of Fractions 14/348,3741/9039 is 17458

Given numbers has no common factors except 1. So, there LCM is their product i.e 52374

Least Common Multiple of 14,3741 with GCF Formula

Least Common Multiple of 14,3741 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 14,3741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,3741) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,3741) x common factors =1 x 1 = 1

LCM(14,3741) = ( 14 × 3741 ) / 1

LCM(14,3741) = 52374 / 1

LCM(14,3741) = 52374


Lets's calculate GCF of 348,9039

3 348, 9039
116, 3013

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52374/3

Therefore the LCM of Fractions 14/348,3741/9039 is 17458

Greatest Common Factor of 348,9039 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,9039 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 9039

List of positive integer factors of 9039 that divides 9039 without a remainder.

1,3,23,69,131,393,3013,9039

Greatest Common Factor

We found the factors 348,9039 . The biggest common factor number is the GCF number.
So the greatest common factor 348,9039 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 14/348, 3741/9039

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 14/348, 3741/9039?

Answer: LCM of Numerators as per given numbers 14/348, 3741/9039 is

LCM of Numerators i.e. for 14,3741 is 52374

GCF of denominators i.e. for 348,9039 is 3.

Thus, LCM of Fractions is 17458.Finally, LCM of Fractions for 14/348, 3741/9039 is 17458.